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Finding the Fourth Proportional to 2,411.70, 3,615.24 and 767.34

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Solution

The fourth proportional to 2,411.70, 3,615.24 and 767.34 is: 1,150.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411.70 : 3,615.24 = 767.34 : x
  2. Step 2: Convert to fraction form
    2,411.70/3,615.24 = 767.34/x
  3. Step 3: Cross multiply
    2,411.70x = 3,615.24 × 767.34
  4. Step 4: Simplify right side
    2,411.70x = 2,774,118.26
  5. Step 5: Solve for x
    x = 2,774,118.26/2,411.70
  6. Step 6: Final answer
    x = 1,150.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.